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Math Help - determine the rAdius

  1. #1
    Junior Member mathbuoy's Avatar
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    Thumbs down determine the rAdius

    The height h of an equilateral triangle is twice its base.
    Find the radius of the circle inscribed.


    *show working and explanation PLS
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  2. #2
    Member great_math's Avatar
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    Quote Originally Posted by mathbuoy View Post
    The height h of an equilateral triangle is twice its base.
    Find the radius of the circle inscribed.


    *show working and explanation PLS
    Is the question correct??

    Let a is the side of an equilateral triangle..

    h= \frac{\sqrt{3}}{2}a
    Again according to question h=2a

    So \frac{\sqrt{3}}{2}a=2a

    or \sqrt{3}=4

    Am i going wrong somewhere??

    But you can use \frac{\sin A}{a}=\frac{\sin B}{b}=\frac{\sin C}{c}=2R

    where A,B,C are angles of a triangle,
    a,b,c are sides of triangle
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  3. #3
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    Smile

    hope this helps
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  4. #4
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    skeeter's Avatar
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    Quote Originally Posted by mathbuoy View Post
    The height h of an equilateral triangle is twice its base.
    Find the radius of the circle inscribed.


    *show working and explanation PLS
    bogus question ... the height of an equilateral triangle cannot be twice the length of its base.

    recheck the exact statement of the problem.
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